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Finding the Third Proportional to 227,741.63 and 487,018.13

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Solution

The third proportional to 227,741.63 and 487,018.13 is: 1,041,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,741.63 : 487,018.13 = 487,018.13 : x
  2. Step 2: Convert to fraction form
    227,741.63/487,018.13 = 487,018.13/x
  3. Step 3: Cross multiply
    227,741.63x = 487,018.13 × 487,018.13
  4. Step 4: Simplify right side
    227,741.63x = 237,186,654,078.52
  5. Step 5: Solve for x
    x = 237,186,654,078.52/227,741.63
  6. Step 6: Final answer
    x = 1,041,472.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.